Answer:
= 1.47kJ/K
Explanation: <u>Entropy</u> is the measure of a system's molecular disorder, i.e, the unuseful work a system does.
The nitrogen gas in the insulated tank can be described as an ideal gas, so it can be used the related formulas.
For the entropy, the ratio of initial and final temperatures is needed and as volume is constant, we use:
![\frac{P_{1}}{T_{1}} =\frac{P_{2}}{T_{2}}](https://tex.z-dn.net/?f=%5Cfrac%7BP_%7B1%7D%7D%7BT_%7B1%7D%7D%20%3D%5Cfrac%7BP_%7B2%7D%7D%7BT_%7B2%7D%7D)
![\frac{P_{2}}{P_{1}} =\frac{T_{2}}{T_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7BP_%7B2%7D%7D%7BP_%7B1%7D%7D%20%3D%5Cfrac%7BT_%7B2%7D%7D%7BT_%7B1%7D%7D)
![\frac{T_{2}}{T_{1}} =\frac{175}{90}](https://tex.z-dn.net/?f=%5Cfrac%7BT_%7B2%7D%7D%7BT_%7B1%7D%7D%20%3D%5Cfrac%7B175%7D%7B90%7D)
![\frac{T_{2}}{T_{1}} =1.94](https://tex.z-dn.net/?f=%5Cfrac%7BT_%7B2%7D%7D%7BT_%7B1%7D%7D%20%3D1.94)
<u>Specific</u> <u>Heat</u> is the quantity of heat required to increase the temperature 1 degree of a unit mass of a substance. Specific heat of nitrogen at constant volume is
0.743kJ/kg.K
The change in entropy is calculated by
![\Delta S= m[c_{v}ln(\frac{T_{2}}{T_{1}})-Rln(\frac{V_{2}}{V_{1}} )]](https://tex.z-dn.net/?f=%5CDelta%20S%3D%20m%5Bc_%7Bv%7Dln%28%5Cfrac%7BT_%7B2%7D%7D%7BT_%7B1%7D%7D%29-Rln%28%5Cfrac%7BV_%7B2%7D%7D%7BV_%7B1%7D%7D%20%29%5D)
For the nitrogen insulated in a rigid tank:
![\Delta S= m[c_{v}ln(\frac{T_{2}}{T_{1}})]](https://tex.z-dn.net/?f=%5CDelta%20S%3D%20m%5Bc_%7Bv%7Dln%28%5Cfrac%7BT_%7B2%7D%7D%7BT_%7B1%7D%7D%29%5D)
Substituing:
![\Delta S= 3[0.743ln(1.94)]](https://tex.z-dn.net/?f=%5CDelta%20S%3D%203%5B0.743ln%281.94%29%5D)
1.47
The entropy change of nitrogen in an insulated rigid tank is 1.47kJ/K
The placement of the bars in a beam will depend on the shear force and the bending moment diagram.
The diagram of bending and shearing forces shows the moments and shearing forces acting on any part of the beam. The layout of reinforcement is dependent on the size and sign (or direction) of diagrams in order to withstand these active forces. For instance, shear reinforcement or stirrups are tightly spaced on the region of the beam where shear force is greater. Additionally, maximal longitudinal reinforcement is supplied in the area with the highest bending moment. Similar to this, some longitudinal reinforcement is reduced when the influence of the bending moment decreases, when the direction of the bending stresses changes, or when the stresses in the web reinforcement increase.
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Answer:
if they have the right equipment
Explanation:
A a result of the graph shown, for any given output level, the veritcal distance between the avc and the atc curves represents total fixed cost (TFC).
<h3>What is Vertical distance?</h3>
This is known as vertical separation and it is said to be the distance that exist between two vertical positions.
Note that vertical coordinates are seen for expressing vertical position: depth, and others and as such,
See full question below
The vertical distance between the ATC and AVC curve represents
a) marginal cost (MC)
b) average fixed cost (AFC)
c) total fixed cost (TFC)
d) total cost (TC) - total variable cost (TVC)
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Answer: 100% (double)
Explanation:
The question tells us two important things:
- Mass remains constant
- Volume remains constant
(We can think in a gas enclosed in a closed bottle, which is heated, for instance)
In this case we know that, as always the gas can be considered as ideal, we can apply the general equation for ideal gases, as follows:
- State 1 (P1, V1, n1, T1) ⇒ P1*V1 = n1*R*T1
- State 2 (P2, V2, n2, T2) ⇒ P2*V2 = n2*R*T2
But we know that V1=V2 and that n1=n2, som dividing both sides, we get:
P1/P2 = T1/T2, i.e, if T2=2 T1, in order to keep both sides equal, we need that P2= 2 P1.
This result is just reasonable, because as temperature measures the kinetic energy of the gas molecules, if temperature increases, the kinetic energy will also increase, and consequently, the frequency of collisions of the molecules (which is the pressure) will also increase in the same proportion.